The study of coefficient estimates and Fekete–Szegö inequalities for the new classes of m-fold symmetric bi-univalent functions defined using an operator

Journal of Inequalities and Applications

Research

Daniel Breaz¹  Luminiţa-Ioana Cotîrlă² 

[1] Department of Mathematics, 1 Decembrie 1918 University, Alba-Iulia, România;Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca, România;

关键词: Analytic functions;    Bi-univalent functions;    Fekete–Szegö functional;    m-fold symmetric;    Coefficient estimates;    Coefficient bounds;    30C45;    30C50;   

DOI  :  10.1186/s13660-023-02920-6

 received in 2022-01-27, accepted in 2023-01-04,  发布年份 2023

来源: Springer

【 授权许可】

CC BY   
© The Author(s) 2023

【 图 表 】

Fig. 3

Fig. 1

Fig. 5

Fig. 1

Fig. 1

Fig. 5

42004_2022_800_Article_IEq32.gif

Fig. 4

40798_2022_490_Article_IEq56.gif

40798_2022_490_Article_IEq55.gif

40798_2022_490_Article_IEq54.gif

40798_2022_490_Article_IEq53.gif

40798_2022_490_Article_IEq52.gif

Fig. 1

Fig. 2

40798_2022_490_Article_IEq48.gif

40798_2022_490_Article_IEq47.gif

40798_2022_490_Article_IEq46.gif

40798_2022_490_Article_IEq45.gif

40798_2022_490_Article_IEq44.gif

Fig. 4

40798_2022_490_Article_IEq42.gif

Fig. 1

40798_2022_490_Article_IEq41.gif

40798_2022_490_Article_IEq12.gif

40798_2022_490_Article_IEq11.gif

Fig. 58

40798_2022_490_Article_IEq9.gif

Fig. 5

Fig. 3

Fig. 5

40798_2022_490_Article_IEq5.gif

40798_2022_490_Article_IEq3.gif

40798_2022_490_Article_IEq2.gif

Fig. 1

Fig. 4

40854_2022_439_Article_IEq93.gif

Fig. 3

Fig. 57

Fig. 1

Fig. 4

Fig. 1

Fig. 3

Fig. 7

Fig. 56

Fig. 4

Fig. 55

Fig. 2

Fig. 6

Fig. 5

Fig. 54

Fig. 2

Fig. 1

12864_2023_9114_Article_IEq10.gif

12888_2022_4500_Article_IEq3.gif

12888_2022_4500_Article_IEq2.gif

12888_2022_4500_Article_IEq1.gif

Fig. 2

Fig. 1

Fig. 7

Fig. 4

Fig. 52

Fig. 11

Fig. 3

Fig. 10

Fig. 51

Fig. 9

Fig. 6

Fig. 1

Fig. 8

Fig. 3

41116_2022_35_Article_IEq585.gif